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Finding the Third Proportional to 15,906 and 20,923

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Solution

The third proportional to 15,906 and 20,923 is: 27,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 20,923 = 20,923 : x
  2. Step 2: Convert to fraction form
    15,906/20,923 = 20,923/x
  3. Step 3: Cross multiply
    15,906x = 20,923 × 20,923
  4. Step 4: Simplify right side
    15,906x = 437,771,929
  5. Step 5: Solve for x
    x = 437,771,929/15,906
  6. Step 6: Final answer
    x = 27,522.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.